Harvey Weinstein’s musical, “Finding Neverland,” will be part of the Tony telecast on Sunday night in a number performed by Jennifer Hudson, according to executive producer Victoria Parker, despite the fact that the show is not on Broadway.

The Tonys, which are essentially a giant, national commercial for Broadway, generally give airtime to the Broadway musicals that opened during the season. The lineup is always political — the most coveted spot, which will go to the Cotton Club-style revue “After Midnight,” this year — is the opening number, which is when the most number of eyes will be on the screen. Producers lobby the Tony’s producers Glenn Weiss and Ricky Kirshner to get their show that gig starting the day the nominations are announced. Shows that don’t win Best Musical can still see a huge boost in tickets if the opening number captures the nation’s imagination.

“It’s an opportunity to get to a wider audience, to get off the island of Manhattan and to a wider world,” said Warren Carlyle, the director and choreographer of “After Midnight.” “I feel the pressure to do something that will be a success and elicit a certain response.”

But it’s highly unusual for a show not on Broadway to get airtime. Mr. Weinstein’s musical, which opened in Leicester in 2012 to tepid reviews, is slated to go to American Repertory Theater in Cambridge this summer in a revamped version, where it will be directed by Diane Paulus and starring Jeremy Jordan as J.M. Barrie, the author of “Peter Pan.” Ms. Hudson is not a cast member. “Chicago” producer Barry Weissler is co-producing with Mr. Weinstein. Mr. Weissler is the producer of the Tony winning “Pippin;” which Ms. Paulus directed.

Ms. Parker said Messers. Kirshner and Weiss came to a workshop of the show in March and that was “the beginning of the conversation” about the Tony appearance. Mr. Weinstein is hoping the show will head to Broadway some time after the Cambridge run.

Another show that will be part of the telecast but not on Broadway yet is Sting’s “The Last Ship,” which opens in Chicago this month and is already booked for an October opening at Broadway’s Neil Simon theater.

Mr. Carlyle said that Messers. Kirshner and Weiss called him the day he got a nomination for the musical and asked what kind of number he was planning. Mr. Carlyle, who is also the choreographer of the entire telecast, pitched them his plan. A few weeks later, he said, they called to say he had the coveted slot.

He’s choreographed a completely new number for the Tonys that will feature the various songstresses — Fantasia, Patti Labelle, Gladys Knight — who have performed with “After Midnight” at various times throughout its run, plus the entire rest of the company.

“There are 27 numbers in the show, and I didn’t want to pick one or two. I couldn’t pick one of my children over the other,” said Mr. Carlyle. “So I composed an entirely new number.”

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